Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900625 | Applied Mathematics and Computation | 2018 | 10 Pages |
Abstract
In this manuscript, the artificial neural networks approach involving generalized sigmoid function as a cost function, and three-layered feed-forward architecture is considered as an iterative scheme for solving linear fractional order ordinary differential equations. The supervised back-propagation type learning algorithm based on the gradient descent method, is able to approximate this a problem on a given arbitrary interval to any desired degree of accuracy. To be more precise, some test problems are also given with the comparison to the simulation and numerical results given by another usual method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ahmad Jafarian, Safa Measoomy Nia, Alireza Khalili Golmankhaneh, Dumitru Baleanu,